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The viscous force acting on a sphere of radius moving with velocity through a fluid of viscosity is given by . The dimensions of are:
ML⁻³
ML⁻¹T⁻¹
MLT⁻²
M⁻¹L³
The viscous force acting on a sphere of radius moving with velocity through a fluid of viscosity is given by . If a new physical quantity is defined as , the dimensions of are:
M⁻¹L²T⁻²
M⁻²L³T⁻³
MLT⁻¹
M²L⁻¹T⁻³
Which limitation of dimensional analysis prevents it from deriving the complete formula for the viscous force on a sphere moving through a fluid, given that the force (F) depends on the radius (r) of the sphere, its velocity (v), and the fluid's viscosity ()?
It cannot determine the numerical constant in Stokes' Law.
It fails to account for the turbulent flow regime.
It cannot handle the non-linear dependence on velocity at high Reynolds numbers.
It requires the density of the fluid, which is not provided.
Which of the following substances is expected to have the highest viscosity at room temperature?
Glycerol ()
Acetone ()
Ethanol ()
Diethyl ether ()
Which of the following contributes to the high viscosity of glycerol?
London dispersion forces
Weak dipole-dipole interactions
Extensive hydrogen bonding
Low molecular weight
Which of the following best explains the high viscosity of glycerol (C3H8O3)?
High molecular weight
London Dispersion Forces
Extensive hydrogen bonding network
Dipole-dipole interactions
The resistance of a liquid to flow is called:
Surface tension
Viscosity
Vapor pressure
Capillary action
Liquids with strong intermolecular forces tend to have:
Low viscosity
High viscosity
High vapor pressure
Low surface tension